A relief worke need to divide 240 bottles of water and 96 cans food into boxes that each contain the same number of items each contain the same items what is thelargest number of relief supplies that can be put in each box.

The largest number of relief supplies that can be put in each box is 48

Solution:

Given that,

A relief worker need to divide 240 bottles of water and 96 cans food into boxes

Each contain the same number of items each contain the same items

To find: largest number of relief supplies that can be put in each box

Thus, we have to find the greatest common factor of 240 and 96

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Then the greatest common factor is 48

Thus, largest number of relief supplies that can be put in each box is 48